CBSE Class 11-science Answered
pls solve
![question image](http://images.topperlearning.com/topper/new-ate/top_mob1674063138387863256IMG-20230118-WA0007.jpg)
Asked by sdmbotch1123 | 18 Jan, 2023, 23:02: PM
![begin mathsize 14px style fraction numerator left parenthesis 2 n right parenthesis factorial over denominator n factorial end fraction space equals space left parenthesis n plus 1 right parenthesis space left parenthesis n plus 2 right parenthesis space left parenthesis n plus 3 right parenthesis space..................... left parenthesis n plus n right parenthesis end style](https://images.topperlearning.com/topper/tinymce/cache/611f5b128b1492d8da23232de6fbaf0b.png)
![begin mathsize 14px style fraction numerator left parenthesis 2 n right parenthesis factorial over denominator n factorial space n to the power of n end fraction space equals space fraction numerator left parenthesis n plus 1 right parenthesis space left parenthesis n plus 2 right parenthesis space left parenthesis n plus 3 right parenthesis space..................... left parenthesis n plus n right parenthesis over denominator n to the power of n end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/86607bbd500ab2e129848442fe05b9ff.png)
![begin mathsize 14px style fraction numerator left parenthesis 2 n right parenthesis factorial over denominator n factorial space n to the power of n end fraction space equals space fraction numerator n to the power of n space open parentheses 1 plus 1 over n close parentheses space stretchy left parenthesis 1 plus 2 over n stretchy right parenthesis space stretchy left parenthesis 1 plus 3 over n stretchy right parenthesis space..................... stretchy left parenthesis 1 plus n over n stretchy right parenthesis over denominator n to the power of n end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/558badb55b5c771ea8957985f9d24846.png)
![begin mathsize 14px style fraction numerator left parenthesis 2 n right parenthesis factorial over denominator n factorial space n to the power of n end fraction space equals space stretchy left parenthesis 1 plus 1 over n stretchy right parenthesis space stretchy left parenthesis 1 plus 2 over n stretchy right parenthesis space space stretchy left parenthesis 1 plus 3 over n stretchy right parenthesis space space..................... stretchy left parenthesis 1 plus n over n stretchy right parenthesis space equals space alpha end style](https://images.topperlearning.com/topper/tinymce/cache/48fecd6b2975e3acfb478391143f6978.png)
where α is a finite number
![begin mathsize 14px style limit as n rightwards arrow infinity of space open parentheses fraction numerator left parenthesis 2 n right parenthesis factorial over denominator n factorial space n to the power of n end fraction close parentheses to the power of bevelled 1 over n end exponent space equals space limit as n rightwards arrow infinity of space alpha to the power of bevelled 1 over n end exponent end style](https://images.topperlearning.com/topper/tinymce/cache/f25feb8c5e0d2dcb977626bf8badf615.png)
Let m = 1/n ; if n →
, then m → 0
![begin mathsize 14px style infinity end style](https://images.topperlearning.com/topper/tinymce/cache/4899d4cc70636c98de532be92d70e0f9.png)
![begin mathsize 14px style space limit as n rightwards arrow infinity of space alpha to the power of 0 space equals space 1 end style](https://images.topperlearning.com/topper/tinymce/cache/fe318b5f718030c81d6ba423d91d6801.png)
Answered by Thiyagarajan K | 19 Jan, 2023, 09:27: AM
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Asked by sdmbotch1123 | 18 Jan, 2023, 23:02: PM